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Quadratics and Cubics, SMB-036

Using the quadratic formula, find `a` given

   `5a^2+7a-1 = 0.`  (3 marks)

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`(-7 +- sqrt(69) )/10`

Show Worked Solution

`5a^2+7a-1 = 0`

`text(Using)\ a = (-b +- sqrt( b^2-4ac) )/(2a)`

`a` `= (-7 +- sqrt{(7)^2-4 xx 5 xx(-1) })/ (2 xx 5)`
  `= (-7 +- sqrt(49+20) )/10`
  `= (-7 +- sqrt(69) )/10`

Filed Under: Quadratics and Cubics Tagged With: num-title-ct-pathc, smc-4386-40-Quadratic formula

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